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Finding the Fourth Proportional to 262,780.61, 394,105.30 and 85,338.41

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Solution

The fourth proportional to 262,780.61, 394,105.30 and 85,338.41 is: 127,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,780.61 : 394,105.30 = 85,338.41 : x
  2. Step 2: Convert to fraction form
    262,780.61/394,105.30 = 85,338.41/x
  3. Step 3: Cross multiply
    262,780.61x = 394,105.30 × 85,338.41
  4. Step 4: Simplify right side
    262,780.61x = 33,632,317,490.70
  5. Step 5: Solve for x
    x = 33,632,317,490.70/262,780.61
  6. Step 6: Final answer
    x = 127,986.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.